Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. Suppose you wish to test the claim that $\mu _ { d }$, the mean value of the differences $d$ for a population of paired data, is greater than 0 . Given a sample of $n = 15$ and a significance level of $\alpha = 0.01$, what criterion would be used for rejecting the null hypothesis? A) Reject null hypothesis if test statistic $ 2.602$. C) Reject null hypothesis if test statistic $ 2.624$. D) Reject null hypothesis if test statistic $ 2.977$ or $

Question

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. Suppose you wish to test the claim that $\mu _ { d }$, the mean value of the differences $d$ for a population of paired data, is greater than 0 . Given a sample of $n = 15$ and a significance level of $\alpha = 0.01$, what criterion would be used for rejecting the null hypothesis? A) Reject null hypothesis if test statistic $< 2.624$. B) Reject null hypothesis if test statistic $> 2.602$. C) Reject null hypothesis if test statistic $> 2.624$. D) Reject null hypothesis if test statistic $> 2.977$ or $< - 2.977$.

Quizplus · Accepted Answer

For a one-tailed test with $\alpha = 0.01$ and $n = 15$, the critical t-value is approximately 2.624. Thus, reject the null hypothesis if the test statistic is greater than 2.624.

Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given